Final answer:
The estimated tuition at this college in 2020 is $51,137.
Explanation:
To find the equation to determine the tuition y for x years after 2000, we need to use the given information: the annual tuition in 2000 was $20,500 and it increased to $45,120 in 2018.
Let's calculate the rate of increase per year:
The change in tuition over the number of years is:
(Tuition in 2018 - Tuition in 2000) / (Year in 2018 - Year in 2000) = (45,120 - 20,500) / (2018 - 2000)
Now, we can use this rate of increase to find the tuition in any given year x:
Tuition in a specific year = Tuition in 2000 + (Rate of increase per year) * x
To estimate the tuition in 2020, we substitute x = 20 into the equation:
Tuition in 2020 = 20,500 + ((45,120 - 20,500) / (2018 - 2000)) * 20 = $51,137
In her garden Pam plants the seed 5 and one fourth in. Below the ground. After one month the tomato plant has grown a total of 11 and one half in. How many inches is the plant above the ground?
Answer: the plant is 6 1/4 inches above the ground.
Step-by-step explanation:
In her garden Pam plants the seed 5 and one fourth inches below the ground. Converting 5 and one fourth inches to improper fraction, it becomes 21/4 inches.
After one month the tomato plant has grown a total of 11 and one half inches. Converting 11 and one half inches to improper fraction, it becomes 23/2 inches.
The height of the the plant above the ground would be
23/2 - 21/4 = (46 - 21)/4 = 25/4
Converting to mixed fraction, it becomes
6 1/4 inches
A certain college team has on its roster three centers, five guards, three forwards, and one individual (X) who can play either guard or forward. How many different starting lineups can be created? [Hint: Consider lineups without X, then lineups with X as guard, then lineups with X as forward.]
Final answer:
Explaining the calculation of different starting lineups with and without a versatile player X on a college team roster.
Explanation:
The total number of different starting lineups can be created by considering various scenarios:
Without X: 3 centers, 5 guards, and 3 forwards = 3*5*3 = 45 lineupsX as a guard: 3 centers, 6 guards, and 3 forwards = 3*6*3 = 54 lineupsX as a forward: 3 centers, 5 guards, and 4 forwards = 3*5*4 = 60 lineupsTo get the final count, add up the lineups from each scenario: 45 (without X) + 54 (X as guard) + 60 (X as forward) = 159 different starting lineups.
Therefore, as per the above explaination, the correct answer is 159 different lineups
The box plots show the target heart rates of men 20–40 years old and men 50–70 years old. Which statement is best supported by the information in the box plots?
Your Question is incomplete, here is the complete statement of the question with the box plots in the attached file.
Question statement:
The box plots show the target heart rates of men 20-40 years old and men 50-70 years old.
Which statement is best supported by the information in the box plots?
A)
The range of the data for men 20-40 years old is less than the range of the
data for men 50-70 years old.
B)
The median of the data for men 20-40 years old is less than the median of
the data for men 50-70 years old.
o
The minimum target heart rate for men 20-40 years old is less than the
minimum target heart rate for men 50-70 years old.
D)
The interquartile range of the data for men 20-40 years old is greater than
the interquartile range of the data for men 50-70 years old.
Answer:
D
Step-by-step explanation:
please find the box plots in the file attached below.
looking at the box plots we can say that the answers is D due to following reasons:
Option A is incorrect:
The range of the data for men 20-40 years old is not less than the range of data for men 50-70 years old because for men 20-40 years old range is 80 and for men 50-70 years old range is 70.
Option B is incorrect:
The median of the data for men 20-40 years old is not less than the range of data for men 50-70 years old because for men 20-40 years old median is 130 and for men 50-70 years old median is 110.
Option C is incorrect:
The minimum target heart rate for men 20-40 years old is not less than the minimum target heart rate for men 50-70 years old because for men 20-40 years old the minimum target heart rate is 90 and for men 50-70 years old the minimum target heart rate is 75.
Option D is correct:
The interquartile range of the data for men 20-40 years old is greater than the interquartile range of data for men 50-70 years old because for men 20-40 years old interquarile range is [tex]Q_{3}-Q_{1}=152.5-107.5=45[/tex] and for men 50-70 years old interquartile range is [tex]Q_{3} -Q_{1} =130-90=40[/tex].
Fred is making a bouquet of carnations and roses. The carnations cost $5.25 in all. The roses cost $1.68 each. How many roses did Fred use if the bouquet cost $18.69 in all?
Answer:
Fred used 8 roses to make the bouquet.
Step-by-step explanation:
Let 'x' roses be used to make a bouquet.
Given:
Cost of carnations = $5.25
Cost of 1 rose = $1.68
Total cost of the bouquet = $18.69
Cost of 1 rose = $1.68
Therefore, using unitary method, the cost of 'x' roses is given as:
Cost of 'x' roses = [tex]1.68x[/tex]
Now, as per question:
Cost of carnations + Cost of 'x' roses = Total cost of the bouquet
[tex]5.25+1.68x=18.69\\\\1.68x=18.69-5.25\\\\1.68x=13.44\\\\x=\frac{13.44}{1.68}\\\\x=8[/tex]
Therefore, Fred used 8 roses to make the bouquet.
Fred used 8 roses in the bouquet.
To solve the problem, we need to find out how many roses Fred used, given the total cost of the bouquet and the cost of the carnations and each rose.
Let's denote the number of roses as ( r ).
The cost of one rose is $1.68. Therefore, the cost of ( r ) roses is ( 1.68r ).
The cost of the carnations is given as $5.25.
The total cost of the bouquet is $18.69.
We can set up the equation to represent the total cost of the bouquet as the sum of the cost of the carnations and the cost of the roses:
[tex]\[ 5.25 + 1.68r = 18.69 \][/tex]
Now, we need to solve for [tex]\( r \):[/tex]
Subtract $5.25 from both sides of the equation to isolate the term with [tex]\( r \):[/tex]
[tex]\[ 1.68r = 18.69 - 5.25 \][/tex]
[tex]\[ 1.68r = 13.44 \][/tex]
Next, divide both sides by $1.68 to solve for r :
[tex]\[ r = \frac{13.44}{1.68} \][/tex]
[tex]\[ r = 8 \][/tex]
(precalc)larger e means the ellipse is _____ like a circle
a. more
b. less
Answer:
Less
Step-by-step explanation:
The closer e is to 0, the more the ellipse will resemble a circle
what is the surface area of cone with a diameter of 10 centimeters and a slant height of 12 centimeters round your answer to the nearest whole number (use 3.14 as an approximate for pi)
The surface area of the cone is [tex]266.9cm^2[/tex]
Explanation:
The diameter of the cone is 10 cms
Thus, the radius of the cone is given by
[tex]r=\frac{d}{2} =\frac{10}{2} =5[/tex]
The slant height of the cone is 12 cms
The formula for surface area of the cone is given by
[tex]$S A=\pi r^{2}+\pi r l$[/tex]
Substituting the values, we get,
[tex]$S A=(3.14)(5)^{2}+(3.14)(5)(12)$[/tex]
[tex]$S A=(3.14)25+(3.14)(60)$[/tex]
[tex]SA=78.5+188.4[/tex]
[tex]SA=266.9cm^2[/tex]
Thus, The surface area of the cone is [tex]266.9cm^2[/tex]
The surface area of the cone is approximately 268 square centimeters.
Explanation:To find the surface area of a cone, we need to know the slant height and the radius of the base. The slant height is given as 12 centimeters. Since the diameter is 10 centimeters, we can find the radius by dividing the diameter by 2, which is 5 centimeters. Now we can use the formula for the surface area of a cone:
A = πr(r + l), where A is the surface area, r is the radius, and l is the slant height.
Plugging in the values, we get: A = 3.14 * 5(5 + 12) = 3.14 * 5 * 17 = 268.1 square centimeters. Rounding to the nearest whole number, the surface area of the cone is approximately 268 square centimeters.
3. Find the length of MG. EGF ~ EML.
The length of MG is 56 for the given similar triangles.
Step-by-step explanation:
Let us consider EML and EGF is two similar triangles.
From the triangle,
EG=5x+2.
EM=16.
EL=28.
EF=126.
According to similar triangle property,
triangle ratio= [tex]\frac{EM}{EG} =\frac{EL}{EF} =\frac{ML}{GF} .[/tex]
[tex]\frac{16}{5x+2}=\frac{28}{126}[/tex].
126(16)=28(5x+2).
2016=140x+56.
140x=1960.
x=14.
⇒EG=5(14)+2.
EG=70+2.
EG=72.
To find the length of MG,
EG=EM+MG.
MG=EG-EM.
=72-16.
MG=56.
The question, asking for the length of a segment within a triangle, belongs to the field of Mathematics and is most likely at a High School level. However, based on the given information, an exact answer cannot be provided.
Explanation:Unfortunately, the provided information is not sufficient enough to find the length of MG. The relationship EGF ~ EML indicates that the triangles EGF and EML are similar, meaning their corresponding sides are proportional. To find the length of MG (a segment within triangle EML), we would typically use a known length from triangle EGF and the scale factor between the two triangles. However, without these additional specifics, we cannot provide an exact value for the length of MG.
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On a cross country trip the Anderson family plan to average 500 miles in 10 hours of driving each day on average how many miles per hour do the Andersons plan to drive
Answer:
50 miles per hour
Step-by-step explanation:
500 miles in 10 hours
= 500/10
= 50 miles per hour
In order to investigate treatments for morbid obesity, obese subjects satisfying fairly strict requirements were randomly assigned to one of three groups: gastric bypass surgery; participation in a diet and exercise program; or both gastric bypass surgery and participation in the diet and exercise program. Researchers carefully observed the amount of weight lost five years after the study began. This study uses the principles of A. randomization. B. confounding. C. blocking. D. All of the above
Answer:A randomization
Step-by-step explanation:Randomization in scientific experiments is a sampling method in which the participants or researchers are chosen randomly and assigned a treatment.
Here the participants or researchers do not know for sure which treatment is better.
Randomization reduces any possible bias responses to a minimal.
Please assist me with this problem
Answer:
d. about 50 times larger
Step-by-step explanation:
The given expressions for magnitude (M) can be solved for the intensity (I). Then the ratio of intensities is ...
[tex]\dfrac{I_2}{I_1}=\dfrac{I_0\cdot 10^{M_2}}{I_0\cdot 10^{M_1}}=10^{M_2-M_1}=10^{4.2-2.5}\\\\=10^{1.7}\approx 50[/tex]
The larger earthquake had about 50 times the intensity of the smaller one.
What is the response variable in the study? Is the response variable qualitative or quantitative? What is the explanatory variable? What is the response variable in the study? Is the response variable qualitative or quantitative?
Answer:
1) The possible outcomes 2) Quantitative 3) The explanation to those outcome 4) Qualitative
Step-by-step explanation:
1) The response variable is a measurable variable, i.e. also called the dependent variable. In the study, they will represent the possible outcome.
E.g.
Suppose the study "Practicing enhances technique", the amount of hours will be the response variable.
2) Is the response variable qualitative or quantitative? Since it is measured, it's a quantitative.
In our example, our response variable would be hours, how many hours is necessary to display some enhancement?
3) What is the explanatory variable?
The explanatory ones, or also independent variables offer explanations to the results the response variables have shown.
In our example, the level of training (low, mid, hard) would be the explanatory one.
4) Is the explanatory variable qualitative or quantitative?
In our example, the explanatory response or independent one is qualitative since to classify the training as low, middle or harder is to classify them as categorical then it's qualitative.
Answer:
The concepts being studied
Step-by-step explanation:
What are variables? ap e x
You are at a birthday party and the cake is brought in the birthday candles on the cake are in a growing pattern: red, yellow; red, yellow, blue; red, yellow, blue, green; the pattern continues adding pink orange purple and white candles how many total candles are on the cake if the last candle is white?
Answer:
35
Step-by-step explanation:
Hi,
A simple way to look at this is making the pattern:
Red, Yellow
Red, Yellow, Blue
Red, Yellow, Blue, Green
Red, Yellow, Blue, Green, Pink
Red, Yellow, Blue, Green, Pink, Orange
Red, Yellow, Blue, Green, Pink, Orange, Purple
Red, Yellow, Blue, Green, Pink, Orange, Purple, White
2 + 3 + 4 + 5 + 6 + 7 + 8 = 35
You can otherwise use the Carl Gauss's formula for calculating the sum of increasing consecutive number:
[tex]Sum = \frac{n}{2} \ (a + b)[/tex]
where: n is the total number of rows;
a is the starting number of values and b is the ending number.
Hence, in this case:
n = 7
a = 2
b = 8
[tex]Total\ number\ of\ candles\ = \frac{7}{2}\ (2+8)\\ =35[/tex]
Final answer:
By analyzing the color pattern, which adds one new color each step and concludes with white being the eighth color, there are 8 total candles on the cake.
Explanation:
To determine how many total candles are on the cake with a color pattern that grows and ends with a white candle, we must first recognize the sequence of colors added as the pattern progresses. The given pattern is red, yellow; red, yellow, blue; red, yellow, blue, green, and continues adding in the order of pink, orange, purple, and finally white.
By this sequence, we can see that the color white will be the last in a set of eight candles (red, yellow, blue, green, pink, orange, purple, white). Since we are looking for the point at which the last candle is white, this indicates that the full sequence has been completed one time entirely. Therefore, there are 8 total candles on the cake.
Please help me!!!! Please show work!!!
Answer:
B=80 A=40 EFD=60 BCF=120
Step-by-step explanation:
First off chill. Second off B=80 A=40 EFD=60 BCF=120. It is quite simple. The congruency marks give the first angle away and you solve from there. If you need help I would do more research because this is important for later units. Also the triangles are congruent.
Answer
Angle A = 40 degrees
Angle B = 80 degrees
Measure BCF = 120 degrees
Measure EFD = 60 degrees
Step-by-step explanation:
Angle A:
Ok, so we know angle A is congruent to angle D because of the line. If you make an equation out of it, you get 2x+20 = 3x+10. If you solve this equation:
2x + 20 = 3x + 10
20 = x+10
10 = x
you will get x=10. Plug it into the equation, and Angle A = 40 degrees.
Angle B:
The two lines that are both on angle B and E mean that they are congruent. We know that angle E = 80 degrees, so angle B does too.
Measure BCF:
We know that Angle A = 40 degrees, and angle B = 80 degrees. The degree sum of all angles in a triangle is 180 degrees.
80 + 40 = 120
180 - 120 = 60
So measure BCA = 60 degrees.
That angle is on a straight line. Two angles on a straight line add up to 180 degrees.
180 - 60 = 120.
So, Measure BCF = 120 degrees.
Measure EFD:
We already found measure BCA while finding measure BCF, and that is just congruent to EFD.
So, measure EFD = 60 degrees
A regular hexagon has sides of 6 feet. What is the area of the hexagon?
Answer:
Well this question was hard ngl, but what I have learned in the previous years in 8th grade, the Area ≈93.53ft²
Step-by-step explanation:
If Im wrong I apologize but I believe thats the answer. You have an amazing day, you mean alot too this world, Y.O.L.O
Answer: 53 radical 3 or 93.53
Rashaads sister gives him 2 pack of cards per month and 3 extra packs for his birthday there are 11 cards in a pack. How many cards does he get in a year?
Answer: he got 297 cards in a year.
Step-by-step explanation:
There are 12 months in a year. Rashaads sister gives him 2 pack of cards per month. This means that in a year, his sister would give him
2 × 12 = 24 packs of cards.
If there are 11 cards in a pack, then the number of cards that his sister gives him in a year would be
24 × 11 = 264 cards.
He also gets 3 extra packs for his birthday. It means that the number of cards that he gets for his birthday would be
3 × 11 = 33 cards.
Therefore, the total number of cards that he gets in a year is
264 + 33 = 297 cards
: The world's tallest unsupported flagpole is a 282 ft. Tall steel pole in Surrey, British Columbia. The shortest shadow cast by the pole during the year is 137 ft. Long. To the nearest degree, what is the angle of elevation of the sun when casting the flagpole's shortest shadow?
Answer:
64.08
Step-by-step explanation:
To find the angle of elevation of the sun, we use the tangent function with the height of the flagpole and the length of the shadow. Calculating the arctangent of the ratio of the height to the shadow length and converting it to degrees gives us the angle of elevation.
Explanation:The question asks about the angle of elevation of the sun when casting the shortest shadow of a flagpole. We can use trigonometric functions to find this angle using the height of the flagpole and the length of the shadow. The height of the flagpole is 282 ft and the length of the shadow is 137 ft.
To find the angle of elevation (θ), we use the tangent function, which is the ratio of the opposite side (height of the flagpole) to the adjacent side (length of the shadow). So, tangent(θ) = opposite/adjacent = 282 ft / 137 ft.
Now, we will calculate the angle using the inverse of the tangent function, also known as arctangent.
θ = arctan(282/137)
To find the angle in degrees, we use a calculator to compute arctan(282/137). After computing, we round the result to the nearest whole number to find the angle of elevation to the nearest degree.
Please help me.
Rectangles F and H are similar. If rectangle F has dimensions of 5x10 and rectangle H has dimensions of 15 by an unknown amount. What is the unknown dimension?
I tried everything, even looking in that useless mathbook, I'm resorting to brainly as a last hope.
Since they are similar both dimensions would have the same ratio. The ratio of 5 and 15 is 3. 15 is 3 times larger than 5, so the unknown dimension is 3 times larger than the known dimension.
3 x 10 = 30
The unknown dimension is 30
The annual tuition at a specific college was $20,500 in 2000, and $45,4120
in 2018. Let x be the year since 2000, and y be the tuition. Write an
equation that can be used to find the tuition y for x years after 2000. Use
your equation to estimate the tuition at this college in 2020.
Answer:
Step-by-step explanation:
Assuming the rate of increase in the cost of tuition fee per year is linear. We would apply the formula for determining the nth term of an arithmetic sequence which is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = $20500(amount in 2000)
From 2000 to 2018, the number of terms is 19, hence,
n = 19
T19 = 454120
Therefore,
454120 = 20500 + (19 - 1)d
454120 - 20500 = 18d
18d = 433620
d = 433620/18
d = 24090
Therefore, the equation that can be used to find the tuition y for x years after 2000 is expressed as
y = 20500 + 24090(x - 1)
To to estimate the tuition at this college in 2020, the number of terms between 2000 and 2020 is 21, hence
x = 21
y = 20500 + 24090(21 - 1)
y = 20500 + 481800
y = $502300
Using linear interpolation, the yearly increase of tuition was calculated and an equation was formed. Substituting the year 2020 into the equation gave an estimated tuition of $47,855.60.
To write an equation that represents the tuition cost y for x years after 2000, we use two given data points: in 2000, tuition was $20,500 (which means when x=0, y=$20,500), and in 2018, tuition was $45,120 (when x=18, y=$45,120). To find the rate of change, we calculate the slope by finding the difference in tuition and dividing it by the difference in years:
Slope (m) = (Y2 - Y1) / (X2 - X1) = ($45,120 - $20,500) / (18 - 0) = $24,620 / 18 ≈ $1,367.78
Now we can write the equation of the line in slope-intercept form (y = mx + b), where b is the initial tuition in the year 2000:
Equation: y = 1367.78x + 20,500
To estimate the tuition in 2020, set x to 20:
y = 1367.78(20) + 20,500 = $27,355.60 + 20,500 = $47,855.60
Therefore, the estimated tuition in 2020 is $47,855.60.
K is the midpoint of JL. Given that JK=2x+7 and KL=4x+1, find x, JK, KL, and JL.
Answer:
x = 3
JK = 13
KL = 13
JL = 26
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsMidpoints - separates a line segment into 2 equal partitionsStep-by-step explanation:
Step 1: Define
K is midpoint JL. Use midpoint definition.
JK = 2x + 7
KL = 4x + 1
JK = KL
2x + 7 = 4x + 1
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 2x on both sides: 7 = 2x + 1[Subtraction Property of Equality] Subtract 1 on both sides: 6 = 2x[Division Property of Equality] Divide 2 on both sides: 3 = xRewrite/Rearrange: x = 3Step 3: Find
JK
Substitute in x: JK = 2(3) + 7Multiply: JK = 6 + 7Add: JK = 13KL
Substitute in x: KL = 4(3) + 1Multiply: KL = 12 + 1Add: KL = 13JL
Define: JL = JK + KLSubstitute in variables: JL = 13 + 13Add: JK = 26The variable x is found to equal 3. Substituting x=3 into the expressions for JK and KL, both are found to equal 13. The entire line segment JL is then found to equal 26.
Explanation:In this mathematics problem, we are given that K is the midpoint of JL. This implies that the segments JK and KL are of equal length, thus JK=KL.
So, we can set the two given expressions equal to each other: 2x+7=4x+1. Solving this equation for x, we get that x=3.
Substituting x=3 into the expressions for JK and KL: JK=2x+7=2(3)+7=13, and KL=4x+1=4(3)+1=13.
To find JL, we simply add JK and KL together, since JKL is a line segment with K being the midpoint. Hence, JL=JK+KL=13+13=26.
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Dante is training for a cross country meet. He ran 35 miles in 10 days. At this rate, how many miles does Dante run each day. A. 0.3 miles B. 3 miles C. 3.5 miles D. 4.5 miles PLEASE HELP THANK YOUUUU
Answer:
C
Step-by-step explanation:
35miles = 10days
x = 1day
10x = 35*1
x = 35/10
x = 3.5miles per day
1. Joy wants to find the distance, AB, across a creek. She starts at point B and walks along the edge of the river 105 ft and marks point C. Then she walks 85 ft further and marks point D. She turns 90° and walks until her final location and marks point E. Point E, point A, and point C are co-linear.
Answer:
The answer to your question is below
Step-by-step explanation:
a) Yes, Joy can conclude that ΔABC is similar to ΔEDC because
∠ACB ≅ ∠ECD they are vertical angles and,
∠ABC ≅ ∠EDC they are right angles
We conclude that ΔABC is similar to ΔEDC because of the AA postulate.
b) [tex]\frac{AB}{BC} = \frac{DE}{CD}[/tex]
Solve for AB
AB = (BC)(DE) / (CD)
Substitution
AB = 105 (90) / 85
Simplification
AB = 105(1.06)
Result
AB = 111.2 ft
please help i will give brainlist
Answer:
7.5
Step-by-step explanation:
For function f(x), the average rate of change between x=a and x=b is given by ...
average rate of change = (f(b) -f(a))/(b -a)
For your function, this will be ...
average rate of change = ((2^5 +3) -(2^1 +3))/(5 -1) = (35 -5)/4
average rate of change = 7.5
Andre has been practicing his math facts.He can now complete 135multiplication facts in 90 seconds if andre is answering questions at a constant rate,how many facts can he answer per second?
Answer:
Andre can answer 1.5 multiplication facts in each second.
Step-by-step explanation:
Given:
Number of multiplication facts completed = 135
Number of second took to complete multiplication facts = 90 seconds.
We need to find the Number of facts answered per second.
Solution;
Now we know that;
In 90 seconds = 135 multiplication facts.
So in 1 second = Number of fact answered in 1 second
By Using Unitary method we get;
Number of fact answered in 1 second = [tex]\frac{135}{90}=1.5[/tex]
Hence Andre can answer 1.5 multiplication facts in each second.
Please help! I am so confused..
Answer: the second one
Step-by-step explanation:
The area of the rectangle is 54 units squared. Write and solve an equation to find x.
Answer: [tex]x=5[/tex]
Step-by-step explanation:
The area of a rectangle can be found with the following formula:
[tex]A=lw[/tex]
Where "l" is the length and "w" is the width.
In this case you can identify in the figure given in the exercise that:
[tex]l=4x-2\\\\w=3[/tex]
You know that the area of that rectangle is the following:
[tex]A=54[/tex]
Therefore, knowing those values, you can substitute them into the formula and then you must solve for "x" in order to find its value. You get that this is:
[tex]54=(4x-2)(3)\\\\54=12x-6\\\\54+6=12x\\\\\frac{60}{12}=x\\\\x=5[/tex]
can someone help me with this, please!!
Answer:
The answer to your question is x = 2.5
Step-by-step explanation:
We know that lines r and s are parallel so angles 1 and 2 are corresponding angles. Corresponding angles measure the same.
m∠1 = m∠2
Substitution
40 - 4x = 50 - 8x
Solve for x
8x - 4x = 50 - 40
4x = 10
x = 10/4
x = 2.5
Find x .
120 degrees
115 degrees
123 degrees
100 degrees
Answer:
x = 110°
Step-by-step explanation:
I think that CHORDS AC & BD are intersecting at centre of the circle. If it is so then,
Since, measure of central angle of a circle is equal to the measure of its corresponding arc or vice versa.
If 4 fair 6-sided dice are rolled, what is the probability that at least one die will show a number greater than 5?
Answer:
probability is 671 out of 1296 or 51.8 %.
Step-by-step explanation:
When we roll 4 fair 6-sided dice total outcomes are
6^4 = 1296
The outcomes where no dice show greater than 5, the dice can show numbers 0,1,2,3,4,5
So the no of these outcomes where no dice show greater than 5 can be found by
5^4 = 625
No of outcomes where at least one dice will show number greater than 5 are
1296-625 = 671
Or in percentage,the probability is (671/1296)*100 = 51.8%
Find the area of the figure.
Answer:
20 square units
Step-by-step explanation:
The figure shows a triangle whose;
Base AC is 8 units Height is 5 unitsWe are supposed to get its area;
Area of a triangle is given by the formula;
Area = 0.5×b×h
Thus;
Area = 0.5 × 8 units × 5 units
= 20 square units
Hence, the area of the figure is 20 square units
Please help, I don't know how to do this
Answer: the length of the arc is 15.17π feet
Step-by-step explanation:
The formula for determining the length of an arc is expressed as
Length of arc = θ/360 × 2πr
Where
θ represents the central angle.
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Radius, r = 13 feet
θ = 210 degrees
Therefore,
Length of arc = 210/360 × 2 × π × 13
Length of arc = 15.167π feet
rounding up to 2 decimal places, it becomes
15.17π feet